Abstract
Given a Siegel theta series and a prime p not dividing the level of the theta series, we apply to the theta series the n+1 Hecke operators that generate the local Hecke algebra at p. We show that the average theta series is an eigenform and we compute the eigenvalues.
Translated title of the contribution | Action of Hecke operators on Siegel theta series II |
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Original language | English |
Pages (from-to) | 981-1008 |
Number of pages | 28 |
Journal | International Journal of Number Theory |
Volume | 4 |
Issue number | 6 |
Publication status | Accepted/In press - 2007 |